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Finding the Fourth Proportional to 5,765.68, 8,645.42 and 1,816.20

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Solution

The fourth proportional to 5,765.68, 8,645.42 and 1,816.20 is: 2,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.68 : 8,645.42 = 1,816.20 : x
  2. Step 2: Convert to fraction form
    5,765.68/8,645.42 = 1,816.20/x
  3. Step 3: Cross multiply
    5,765.68x = 8,645.42 × 1,816.20
  4. Step 4: Simplify right side
    5,765.68x = 15,701,811.80
  5. Step 5: Solve for x
    x = 15,701,811.80/5,765.68
  6. Step 6: Final answer
    x = 2,723.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.